Are yields for organic farming different from conventional farming yields? Independent random samples from method A (organic farming) and method B (conventional farming) gave the following information...

Are yields for organic farming different from conventional farming yields? Independent random samples from method A (organic farming) and method B (conventional farming) gave the following information about yield of lima beans (in tons/acre).

Method A	1.39	1.87	1.29	1.53	1.47	1.79	1.77	1.83	1.61	2.15	2.33
Method B	1.45	2.11	1.85	2.07	1.89	2.03	1.95	1.41	1.73	1.27	1.93	1.13

Use a 5% level of significance to test the hypothesis that there is no difference between the yield distributions.

(a)

What is the level of significance?

State the null and alternate hypotheses.

H_o
: Distributions are the same.H₁
: Distributions are the same.H_o
: Distributions are the same.H₁
: Distributions are different.H_o
: Distributions are different.H₁
: Distributions are different.H_o
: Distributions are different.H₁
: Distributions are the same.

(b)

Compute the sample test statistic. (Use 2 decimal places.)

What sampling distribution will you use?

uniformStudent'st normalchi-square

What conditions are necessary to use this distributions?

Both sample sizes must be less than 10.At least one sample size must be greater than 10. At least one sample size must be less than 10.Both sample sizes must be greater than 10.

(c)

Find theP-value of the sample test statistic. (Use 4 decimal places.)

(d)

Conclude the test?

At the ? = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.At the ? = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant. At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.

(e)

Interpret your conclusion in the context of the application.

Reject the null hypothesis, there is sufficient evidence that the yield distributions are different.Fail to reject the null hypothesis, there is sufficient evidence that the yield distributions are different. Fail to reject the null hypothesis, there is insufficient evidence that the yield distributions are different.Reject the null hypothesis, there is insufficient evidence that the yield distributions are different.

Jun 09, 2022

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Are yields for organic farming different from conventional farming yields? Independent random samples from method A (organic farming) and method B (conventional farming) gave the following information...

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